Information on Result #1839039
OOA(12831, 2097408, S128, 4, 8), using discarding parts of the base based on linear OOA(25627, 2097408, F256, 4, 8) (dual of [(2097408, 4), 8389605, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2565, 258, F256, 4, 4) (dual of [(258, 4), 1027, 5]-NRT-code), using
- appending kth column [i] based on linear OOA(2565, 258, F256, 3, 4) (dual of [(258, 3), 769, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 5, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256, using
- extracting embedded OOA [i] based on digital (1, 5, 258)-net over F256, using
- appending kth column [i] based on linear OOA(2565, 258, F256, 3, 4) (dual of [(258, 3), 769, 5]-NRT-code), using
- linear OOA(25622, 2097150, F256, 4, 8) (dual of [(2097150, 4), 8388578, 9]-NRT-code), using
- OOA 4-folding [i] based on linear OA(25622, 8388600, F256, 8) (dual of [8388600, 8388578, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(25622, large, F256, 8) (dual of [large, large−22, 9]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(25622, large, F256, 8) (dual of [large, large−22, 9]-code), using
- OOA 4-folding [i] based on linear OA(25622, 8388600, F256, 8) (dual of [8388600, 8388578, 9]-code), using
- linear OOA(2565, 258, F256, 4, 4) (dual of [(258, 4), 1027, 5]-NRT-code), using
Mode: Constructive.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | OOA(12831, 2097407, S128, 12, 8) | [i] | OOA Stacking with Additional Row | |